I feel like this is missing the point. There is no amount of human effort that can do things like break modern encryption in any reasonable timescale. There is an upper bound on what can be comprehended, and especially in the timescale of decades, by any amount of humans. An ASI would have the ability to comprehend and problem solve on a level thousands of times higher than a human, and if we had the source code for an ASI today, without any previous training, it could likely both train itself on the entire world's body of knowledge and break AES-strength encryption in a matter of seconds.
Encryption is just one example. Its ability across the entirety of math and science would be equally powerful.